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Progress In Electromagnetics Research
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NUMERICAL INVESTIGATION OF AN ENERGETIC CONSTRAINT FOR INVERSE SCATTERING PROBLEMS

By D. Franceschini

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Abstract:
Microwave inverse scattering approaches have shown their effectiveness in imaging inaccessible regions. Unfortunately, the problem at hand is strongly non-linear and ill-posed and therefore it is often solved by seeking for the global minimum of a proper functional. Nevertheless, it is also necessary to introduce suitable regularizations in order to improve the convergence of the reconstruction process toward a reliable solution. In this context, the paper presents a method that exploits an energetic constraint to define a regularization term of the cost functional. A numerical validation with single and multiple inhomogeneous lossless targets demonstrates that an improvement of the reconstruction accuracy is achievable without introducing significant computational complexity to the inverse scattering problem.

Citation:
D. Franceschini, "Numerical investigation of an energetic constraint for inverse scattering problems," Progress In Electromagnetics Research, Vol. 104, 49-67, 2010.
doi:10.2528/PIER10041309
http://www.jpier.org/PIER/pier.php?paper=10041309

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